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Conditional Probability: Selecting Without Replacement

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An urn contains four colored balls, two orange and two blue. Two balls are selected at random without replacement, and you are told that at least one of them is orange. What is the probability that the other ball is also orange?

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Solution Summary

This solution determines the probability that a ball selected at random with be either orange or blue.

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Solving Conditional Probability

Three pieces of paper labeled 2,4, and 6 are placed in a jar. You randomly select a piece of paper from the jar and then randomly draw k cards (without replacement) from a standard deck of 52 cards, where k is the number on the piece of paper you drew. Given that no aces are selected, what is the probability that the number on the piece of paper is 6?

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